Jump theory (JT) and transition state theory (TST) are usually employe
d to study atom diffusion at crystal surfaces. In the Fokker-Planck (F
P) approach the continuous motion of the diffusing particle and the no
n-equilibrium effects are incorporated in a natural way; JT and TST re
sults are obtained as limiting cases in certain ranges of the paramete
rs. High-temperature and low-friction effects are studied solving the
FP equation with a periodic adiabatic potential and a position-depende
nt friction.